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Finding the Fourth Proportional to 86,545.34, 129,833.81 and 39,797

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Solution

The fourth proportional to 86,545.34, 129,833.81 and 39,797 is: 59,702.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,545.34 : 129,833.81 = 39,797 : x
  2. Step 2: Convert to fraction form
    86,545.34/129,833.81 = 39,797/x
  3. Step 3: Cross multiply
    86,545.34x = 129,833.81 × 39,797
  4. Step 4: Simplify right side
    86,545.34x = 5,166,996,136.57
  5. Step 5: Solve for x
    x = 5,166,996,136.57/86,545.34
  6. Step 6: Final answer
    x = 59,702.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.